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Finding the Third Proportional to 547,906 and 746,406

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Solution

The third proportional to 547,906 and 746,406 is: 1,016,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,906 : 746,406 = 746,406 : x
  2. Step 2: Convert to fraction form
    547,906/746,406 = 746,406/x
  3. Step 3: Cross multiply
    547,906x = 746,406 × 746,406
  4. Step 4: Simplify right side
    547,906x = 557,121,916,836
  5. Step 5: Solve for x
    x = 557,121,916,836/547,906
  6. Step 6: Final answer
    x = 1,016,820.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.